First we must find area of a single square.
Meaning we divide total area of 80 centimetres squared by 5 since we have 5 squares in the shape.
![A_(square)=(A_(shape))/(5)=\underline{16}](https://img.qammunity.org/2020/formulas/mathematics/middle-school/trz8czmkorto02yss39aose4ldpp6ps4jj.png)
Now from the picture we can see that the perimeter of shape is combined by 4 times 3 times the length of side of 1 square.
So we need to find side of 1 square.
![a=\sqrt{A_(square)}=√(16)=\underline{4}](https://img.qammunity.org/2020/formulas/mathematics/middle-school/zky801t5oz8pk79y4lx0bk4c1s9pjs97sd.png)
As we stated before the formula for perimeter of this shape is:
![P=4(3\cdot a)=4(3\cdot4)=4\cdot12=\boxed{48}](https://img.qammunity.org/2020/formulas/mathematics/middle-school/nkv9xv5fcxeu4waki4xqdm4futtpf97o2s.png)
The perimeter of shape is 48 centimetres.
Hope this helps.
r3t40